Write an equation for the transformation of y=x. vertical compression by a factor of 1/7
The equation for the transformation of y=x with a vertical compression by a factor of 1/7 is:
y = (1/7)x
To represent a vertical compression of y=x by a factor of 1/7, we need to multiply the original equation y=x by 1/7. Therefore, the equation for the transformation is:
y = (1/7)x
To write the equation for the transformation of y = x with a vertical compression by a factor of 1/7, we need to consider how the compression affects the original equation.
A vertical compression means that the vertical distance between the points on the graph will be reduced. In this case, the factor of compression is 1/7, which means the compressed graph will be 1/7 times the height of the original graph.
To incorporate the vertical compression into the equation, we can simply multiply the original equation of y = x by the compression factor, 1/7.
Therefore, the equation for the transformation of y = x with a vertical compression of 1/7 is:
y = (1/7)x
This new equation represents the original graph y=x, where each point on the graph is now compressed vertically by a factor of 1/7.